CONTENTS
Preface i
by Professor Vera Martha Winitzky de Spindadel
Organising Committee iii
International Scientific Committee iv
Acknowledgments vii
Foreword xv
by Professor Mark Burry
Fractal Types and Colouring Algorithms Javier Barrallo & Santiago Sanchez 1
Curve and Surface Design Using Constrained Splines Gleh Beliakov & Juan Esleban Monsalve 8
Some Geometric Tools in the Architectural Project Maria Vrancisca Blanco, Edgar Martinez EncarnacionReyes 17
Spanish Popular Architecture and Graphs Maria Erancisca Blanco 6- Miriam Pisonero 24
Symmetry: A Tool of DesignMaria Erancisca Blanco & Elena Nieto 39
Pottery Exhibition on the Theory of Oriented Matroids Jiirgen Bokowski 46
Design Spaces - The Forgotten Artefact Andrew Burrow & Robert Woodbury 56
In Search of the Elusive Mark Burry, Jane Burry Grant Dunlop & Andrew Maber 63
Describing Designs withFunction-Behaviour-Structure Graphs Scott C. Chase & Pak San Liew 74
An Urban-CAD Application for Urbanistic Design Process D. Chilchian & E.G.M. Sauren 82
Spinning Architecture Leonardo Combes 92
Geometry, Architecture and Video Manuel Couceiro da Costa 100
Infinite Sequences and theForm of Gel la Superstructures Sambit Datta 106
CALENDARIOLeonardo Pablo Diez 113
Repeated Shapes Chris F Earl 119
C C C : Pythagorean Structures in Design Athanassios Economou 128
Mathematics & Flatland: From Design to Cinema Michele Emmer 139
Translating Music into Architecture Peter Eerschin, Daniela Lehner & Yukari Oka 150
Haptic Programming with Machine-Readable ModelsThomas Fischer, Cristiano Ceccato & John Frazer 156
Mathematical Model forOptimizing Sizes of "PEM" Fuel Cells Florencio Gamallo, Jorge Maislin Erico Spinadel & Vera W. de Spinadel 166
Investigating Configurations ofPolyhedra in 3-Dimensional Environments Brian Gardner & Ramesh Krishnamurti 174
Colourful ErrorsD. Huylebrouck & P. Labarque 185
Interpreting Efficiency and Effectiveness Concepts in Architecture, Facilities Space PlanningandDesign Based on Case Studies Benedict D llozor 192
The Arithmetic of Nichomachus of Gerasa and its Application to Systems of Proportion Jay Kappraff 202
A Brief Survey of Engineering Drawing Education in the Song Dynasty Liu Kerning, Hu Xianzhang & Fan Weiwei 215
The Meditations of Francois Lemou Bechir Kenzari 225
Numbers and Ornaments Ljuhisa M. Kocic 233
On the Encoding of Architectural Aesthetic Preference Alexander Koutamanis 246
Curving Spirolaterals Robert J Krawczyk 255
Sortal Grammars as a Framework for Exploring Grammar Formalisms Rudi Stouffs & Ramesh Krishnamurti 261
leaching Style Grammatically, with an Example From Traditional Chinese Architecture Andrew l-kang Li 270
A Mathematical Way to Present Information Patterns and its Applications Kewu Li 278
Analysis of Projected Figures in the Process of Re-creating a Work of Art in KADO 'Through the Assessment of Mathematical Modelling' Akio Matsuzaki & Mayumi Matsuzaki 285
Arabic Calligraphy: A Computational Exploration Hoda Moustapha & Ramesh Krishnamurti 294
Topological Parameters and Visualization of Curvatures from Gray Images Masanon Nara, Yoji Arai Hiruko Kitaoka Ryuji Takaki 307
Division of Space with Minimum Partitional Area: Elementary Analysis of Weaire-Phelan Structure of Kelvin Problem Tobru Ogawa & Taeko Ogawa 316
Ambigrams - One of Escher's Blind Spots Burkard Polster 323
Panopainter - Sketching in the Round Joseph Ashmore & Paul Richens 332
From Parallel Descriptions to Parallel Grammars: Unravelling the Complexity of Lutyens's Country House Folio John Rollo 348
The Relationship Between Mathematics and Design of Islamic Patterns, Islamic Architecture and the Cosmology; Process of Design, Computation and Cognition Zafer Sagdic 361
"Via Globi" - Pathways on a Sphere Carlo H. Sequin 366
Graph Theory Architectural Typology Database Stella M. Sirianni, Sebastian D. Krimkiewiez Walter L. Geler & Martin L. Benarrocb 375
The Sphere And The Labyrinth: The Influence Of Built Form On Steady-State Heat Loss Henry Skates Brian Norton 384
Continued Fraction Expansions and Design Vera Winitzky de Spinadel 391
Geometry as a Tool for Design Barbara Stenglein-Anderson 400
Measure for Measure: Masculinity, Proportion and the Architecture of the Ancients Mark Taylor 404
A Proportional Study on the Ottoman Turkish House Facades in South-West Anatolia Nur Urfalioglu 415
A Set of Impossible Tiles Diego Uribe 419
The Analytic and Numerical Definition of the Geometry of the British Museum Great Court Roof Chris ] K Williams 434
2r + t 8 600mm A Study into the Problem of the Stair Peter Wood 441
Delay Differential Equations: Mathematical Modelling in Medicine and Periodic Solutions of Impulsive Systems with Periodic Delays in the Critical Case Haydar Akca & Valery Covachev 448
Architectural Design Knowledge Modeling O. Ciflcioglu, S. Durmisevic & S. Sariyildiz 462